131413123442329 has 2 divisors, whose sum is σ = 131413123442330. Its totient is φ = 131413123442328.

The previous prime is 131413123442323. The next prime is 131413123442347. The reversal of 131413123442329 is 923244321314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106052099385600 + 25361024056729 = 10298160^2 + 5035973^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413123442329 - 2⁷ = 131413123442201 is a prime.

It is not a weakly prime, because it can be changed into another prime (131413123442323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706561721164 + 65706561721165.

It is an arithmetic number, because the mean of its divisors is an integer number (65706561721165).

Almost surely, 2^{131413123442329} is an apocalyptic number.

It is an amenable number.

131413123442329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413123442329 is an equidigital number, since it uses as much as digits as its factorization.

131413123442329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 373248, while the sum is 43.

The spelling of 131413123442329 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred twenty-three million, four hundred forty-two thousand, three hundred twenty-nine".